Finite Group Databasebeta

← Group #348801

Character table — Group #348801

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244448888888888888888888888888888888888816161616161616163232
order12222222444444444444224444444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111-1-111-1-111-1-1-1-11-1-111-1-1-1-11111111111-1-1-1-11111-1-1
χ611111111111111111111-1-111-1-111-1-111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-11
χ121111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11-1
χ131111111111111111-1-111-1-1-1-11111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ141111111111111111-1-111-1-1-1-11111-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1
χ151111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1111-1
χ161111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-1-11
χ172222222222-2-222-2-222-2-2002-2002200-2-20000-200-2-2000022000000000000000000
χ182222222222-2-222-2-222-2-2002-200-2-200220000-200220000-2-2000000000000000000
χ192222222222-2-222-2-2-2-2-2-200-22002200220000200-2-20000-2-2000000000000000000
χ202222222222-2-222-2-2-2-2-2-200-2200-2-200-2-2000020022000022000000000000000000
χ2122222222-2-222-2-22222-2-222-2-22200-2-20000002-2-200000000000000000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-2-2-2002200000022200000000000000000000000000
χ2322222222-2-222-2-222-2-2-2-22222-2-200-2-2000000-22200000000000000000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-222220022000000-2-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222200-220000000022-2-2-2000022-2-200000000000000000000
χ2622222222-2-2-2-2-2-2-2-2222200-2200000000-2-222-20000-2-22200000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222002-20000000022-2-220000-2-22200000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222002-200000000-2-2222000022-2-200000000000000000000
χ292-2-2-222-222222-2-2-2-200-2200002i−2i2i−2i00002-22-202i−2i2i−2i000000000000000000000000
χ302-2-2-222-222222-2-2-2-200-2200002i−2i−2i2i0000-22-2202i−2i−2i2i000000000000000000000000
χ312-2-2-222-222222-2-2-2-200-220000−2i2i2i−2i0000-22-220−2i2i2i−2i000000000000000000000000
χ322-2-2-222-222222-2-2-2-200-220000−2i2i−2i2i00002-22-20−2i2i−2i2i000000000000000000000000
χ332-2-2-222-2222-2-2-2-222002-22-200002i−2i2-2000000000−2i2i2i−2i2i−2i00000000000000000000
χ342-2-2-222-2222-2-2-2-222002-22-20000−2i2i2-20000000002i−2i−2i2i−2i2i00000000000000000000
χ352-2-2-222-2222-2-2-2-222002-2-2200002i−2i-22000000000−2i2i−2i2i−2i2i00000000000000000000
χ362-2-2-222-2222-2-2-2-222002-2-220000−2i2i-220000000002i−2i2i−2i2i−2i00000000000000000000
χ372-2-2-222-22-2-22222-2-2002-200002i−2i00002-200000−2i2i002i−2i−2i2i2-2000000000000000000
χ382-2-2-222-22-2-22222-2-2002-200002i−2i0000-2200000−2i2i00−2i2i2i−2i-22000000000000000000
χ392-2-2-222-22-2-22222-2-2002-20000−2i2i00002-2000002i−2i00−2i2i2i−2i2-2000000000000000000
χ402-2-2-222-22-2-22222-2-2002-20000−2i2i0000-22000002i−2i002i−2i−2i2i-22000000000000000000
χ412-2-2-222-22-2-2-2-2222200-222-2000000-222-2-222-2000000000-22000000000000000000
χ422-2-2-222-22-2-2-2-2222200-222-2000000-22-222-2-220000000002-2000000000000000000
χ432-2-2-222-22-2-2-2-2222200-22-220000002-22-22-2-22000000000-22000000000000000000
χ442-2-2-222-22-2-2-2-2222200-22-220000002-2-22-222-20000000002-2000000000000000000
χ45444-44-4-4-4004-4004-40000000000000000000000000000000000000000022−22000000
χ46444-44-4-4-4004-4004-400000000000000000000000000000000000000000−2222000000
χ47444-44-4-4-400-4400-4400000000000000000000000000000000000000022−2200000000
χ48444-44-4-4-400-4400-44000000000000000000000000000000000000000−222200000000
χ4944-44-44-4-44-4004-400000000000000000000000000000000000002222−22−220000000000
χ5044-44-44-4-44-4004-40000000000000000000000000000000000000−22−2222220000000000
χ5144-44-44-4-4-4400-440000000000000000000000000000000002222−22−2200000000000000
χ5244-44-44-4-4-4400-44000000000000000000000000000000000−22−22222200000000000000
χ534-444-4-4-44000000004-4000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000
χ544-444-4-4-44000000004-400000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000
χ554-444-4-4-4400000000-44000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000
χ564-444-4-4-4400000000-4400000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000
χ574-44-4-444-44-400-44000000000000000000000000000000000000000000000002i2−2i200
χ584-44-4-444-44-400-4400000000000000000000000000000000000000000000000−2i22i200
χ594-44-4-444-4-44004-40000000000000000000000000000000000000000000002i2−2i20000
χ604-44-4-444-4-44004-4000000000000000000000000000000000000000000000−2i22i20000
χ614-4-444-44-4004-400-4400000000000000000000000000000002i2−2i2−2i22i200000000000000
χ624-4-444-44-4004-400-440000000000000000000000000000000−2i22i22i2−2i200000000000000
χ634-4-444-44-400-44004-4000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ644-4-444-44-400-44004-400000000000000000000000000000000000−2i22i22i2−2i20000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).